As a trivial example, A + B means the element-wise addition two arrays, rather than use looping to compute the terms yourself.
The original array language is APL, which is also known for using its own non-ASCII notation. https://en.wikipedia.org/wiki/APL_(programming_language) . To give you a sense of what I mean, the implementation of the Game of Life is:
life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +⌿ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵}
Compare that to how you might implement GoL as a couple of for-loops, with a hard-coded count of the 3x3 neighbor grid. But why use stinking for-loops when you express what the result you want directly, tersely, so you can able see the whole program at once?(OTOH, as I recall, that implementation uses a fixed-width array, which highlights a limitation to using that approch. For GoL you really want to use Hashlife, which isn't so amenable to an array approach.)
Many of the links here reference K, a descendant of APL which uses ASCII.